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10255207825 = 522713151201
BaseRepresentation
bin10011000110100001…
…00000110110010001
3222110200222112110001
421203100200312101
5132000313122300
64413340410001
7512063554042
oct114320406621
928420875401
1010255207825
114392885475
121ba2546901
13c75834415
146d3dd68c9
154004c016a
hex263420d91

10255207825 has 12 divisors (see below), whose sum is σ = 12721229068. Its totient is φ = 8201088000.

The previous prime is 10255207793. The next prime is 10255207841. The reversal of 10255207825 is 52870255201.

It is a Cunningham number, because it is equal to 1012682+1.

It can be written as a sum of positive squares in 6 ways, for example, as 1 + 10255207824 = 1^2 + 101268^2 .

It is not a de Polignac number, because 10255207825 - 25 = 10255207793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7776 + ... + 143425.

Almost surely, 210255207825 is an apocalyptic number.

It is an amenable number.

10255207825 is a deficient number, since it is larger than the sum of its proper divisors (2466021243).

10255207825 is a wasteful number, since it uses less digits than its factorization.

10255207825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153924 (or 153919 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 37.

The spelling of 10255207825 in words is "ten billion, two hundred fifty-five million, two hundred seven thousand, eight hundred twenty-five".

Divisors: 1 5 25 2713 13565 67825 151201 756005 3780025 410208313 2051041565 10255207825